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230627110146372 = 223927779105449
BaseRepresentation
bin110100011100000100001110…
…111110011101000101000100
31010020120201212211201000000000
4310130010032332131011010
5220212043310144140442
62134300344243321300
766402154533216462
oct6434041676350504
91106521784630000
10230627110146372
1167537454272145
1221a490b4680230
139b8c073ac3054
1440d45a9969832
151b9e218c76d4c
hexd1c10ef9d144

230627110146372 has 120 divisors (see below), whose sum is σ = 605413445868000. Its totient is φ = 76872206972736.

The previous prime is 230627110146347. The next prime is 230627110146451. The reversal of 230627110146372 is 273641011726032.

It is a happy number.

230627110146372 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 2 + 7 + 1 + 1 + 0 + 1 + 4 + 637 + 2 = 666.

It is a super-2 number, since 2×2306271101463722 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2187043504 + ... + 2187148952.

It is an arithmetic number, because the mean of its divisors is an integer number (5045112048900).

Almost surely, 2230627110146372 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230627110146372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302706722934000).

230627110146372 is an abundant number, since it is smaller than the sum of its proper divisors (374786335721628).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230627110146372 is an equidigital number, since it uses as much as digits as its factorization.

230627110146372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133259 (or 133233 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 230627110146372 in words is "two hundred thirty trillion, six hundred twenty-seven billion, one hundred ten million, one hundred forty-six thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 6561 8748 13122 19683 26244 27779 39366 55558 78732 83337 105449 111116 166674 210898 250011 316347 333348 421796 500022 632694 750033 949041 1000044 1265388 1500066 1898082 2250099 2847123 3000132 3796164 4500198 5694246 6750297 8541369 9000396 11388492 13500594 17082738 20250891 25624107 27001188 34165476 40501782 51248214 60752673 76872321 81003564 102496428 121505346 153744642 182258019 230616963 243010692 307489284 364516038 461233926 546774057 691850889 729032076 922467852 1093548114 1383701778 2075552667 2187096228 2767403556 2929267771 4151105334 5858535542 8302210668 8787803313 11717071084 17575606626 26363409939 35151213252 52726819878 79090229817 105453639756 158180459634 237270689451 316360919268 474541378902 711812068353 949082757804 1423624136706 2135436205059 2847248273412 4270872410118 6406308615177 8541744820236 12812617230354 19218925845531 25625234460708 38437851691062 57656777536593 76875703382124 115313555073186 230627110146372